Properties of the Number 80784

Eighty Thousand Seven Hundred Eighty-Four

Basics

Value: 80783 → 80784 → 80785

Parity: even

Prime: No

Previous Prime: 80783

Next Prime: 80789

Digit Sum: 27

Digital Root: 9

Palindrome: No

Factorization: 2 ⁴ × 3 ³ × 11 × 17

Divisors: 1, 2, 3, 4, 6, 8, 9, 11, 12, 16

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10011101110010000

Octal: 235620

Duodecimal: 3A900

Hexadecimal: 13b90

Square: 6526054656

Square Root: 284.22526277584825

Classification

Fibonacci: No

Bell Number: No

Factorial Number: No

Regular Number: No

Perfect Number: No

Special

Kaprekar Constant: No

Munchausen Constant: No

Armstrong Number: No

Kaprekar Number: No

Catalan Number: No

Vampire Number: No

Taxicab Number: No

Super Prime: No

Friedman Number: No

Fermat Number: No

Cullen Number: No

OEIS Sequences

Triangle T(n,k) read by rows: coefficients of polynomials P_n(t) defined in Formula section. A286782

a(0) = 0, a(1) = 1; for n >= 2, a(n) = 9·a(n-1) + 7·a(n-2). A15583

Expansion of 1/((1-x)⁴*(1-x²)²). A28346

Numbers with prime factorization pqr^3s^4. A190294

Row sums of Pellonomial triangle A099927. A99928

G.f.: ∑_n>=1 Pell(n+1) * xⁿ / (1 - xⁿ), where Pell(n) = A000129(n). A256272

G.f.: x² * f''(x), where f(x) = ∏_k>=1 1 / (1 - x^k). A278406

Number of n X 4 0..1 arrays avoiding 0 0 1 and 0 1 0 horizontally and 0 0 1 and 1 0 1 vertically. A207064

Column 2 of A286782. A287032

Duplicate of A072978. A80784